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Finding the Fourth Proportional to 342,198.41, 472,214.95 and 189,227.75

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Solution

The fourth proportional to 342,198.41, 472,214.95 and 189,227.75 is: 261,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,198.41 : 472,214.95 = 189,227.75 : x
  2. Step 2: Convert to fraction form
    342,198.41/472,214.95 = 189,227.75/x
  3. Step 3: Cross multiply
    342,198.41x = 472,214.95 × 189,227.75
  4. Step 4: Simplify right side
    342,198.41x = 89,356,169,670.72
  5. Step 5: Solve for x
    x = 89,356,169,670.72/342,198.41
  6. Step 6: Final answer
    x = 261,123.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.